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Conformal blocks and negativity at large central charge

Manuela KulaxiziPhysique Théorique et Mathématique, Université Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, B-1050, Bruxelles, BelgiumAndrei ParnachevInstitute Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, Leiden, 2300RA, The NetherlandsGiuseppe PolicastroLaboratoire de Physique Théorique, Ecole Normale Supérieure, 24 rue Lhomond, 75231, Paris Cedex 05, France
2014en
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We consider entanglement negativity for two disjoint intervals in 1+1 dimensional CFT in the limit of large central charge. As the two intervals get close, the leading behavior of negativity is given by the logarithm of the conformal block where a set of approximately null descendants appears in the intermediate channel. We compute this quantity numerically and compare with existing analytic methods which provide perturbative expansion in powers of the cross-ratio.

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